Study of a general growth model

Author(s):  
G. Albano ◽  
V. Giorno ◽  
P. Román-Román ◽  
F. Torres-Ruiz
Keyword(s):  
2020 ◽  
Vol 34 (29) ◽  
pp. 2050281
Author(s):  
Irving Rondón ◽  
Oscar Sotolongo-Costa ◽  
Jorge A. González ◽  
Jooyoung Lee

We present a general growth model based on nonextensive statistical physics. We show that the most common unidimensional growth laws such as power law, exponential, logistic, Richards, Von Bertalanffy, Gompertz can be obtained. This model belongs to a particular case reported in (Physica A 369, 645 (2006)). The new evolution equation resembles the “universality” revealed by West for ontogenetic growth (Nature 413, 628 (2001)). We show that for early times the model follows a power law growth as [Formula: see text], where the exponent [Formula: see text] classifies different types of growth. Several examples are given and discussed.


Nanoscale ◽  
2016 ◽  
Vol 8 (4) ◽  
pp. 2149-2158 ◽  
Author(s):  
Andrea Cabrero-Vilatela ◽  
Robert S. Weatherup ◽  
Philipp Braeuninger-Weimer ◽  
Sabina Caneva ◽  
Stephan Hofmann

A first-order model for graphene CVD on transition metal catalysts that combines kinetic and thermodynamic considerations is developed and experimentally verified.


2019 ◽  
Vol 517 ◽  
pp. 370-384 ◽  
Author(s):  
Anita Chandra ◽  
Himanshu Garg ◽  
Abyayananda Maiti

1991 ◽  
Vol 11 (3-4) ◽  
pp. 257-281 ◽  
Author(s):  
Timothy T. Baker ◽  
Robert Lafferty ◽  
Terrance J. Quinn

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